suppose y varies jointly with x and z. if y=20 when x=2 and z=5, find y when x=14 and z=8. Created by michaeljurinario. Math

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suppose y varies jointly with x and z. if y=20 when x=2 and z=5, find y when x=14 and z=8

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✏️JOINT VARIATION

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Problem: Suppose y varies jointly with x and z. If y = 20 when x = 2 and z = 5, find y when x = 14 and z = 8.

Solution: Make the equation for joint variation in which k is the constant.

$y = kxz$

$20 = k(2)(5)$

$20 = k(10)$

$20 = 10k$

$\begin{gathered} \frac{20}{10} = \frac{ \cancel{10}k}{ \cancel{10}} \end{gathered}$

$k = 2$

- Find y when x = 14 and z = 8.

$y = (2)(14)(8)$

$y = (28)(8)$

$y = 224$

- Therefore, the value of y is:

$\large \rm Value \: of \: y = \boxed{ \rm \green{ \: 224 \: }}$

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Verified answer

✏️JOINT VARIATION

===============================

===============================

Add an Answer

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